Elliptic curve isogeny class 22810.2-a over number field \(\Q(\sqrt{-1}) \)

• Base field: \(\Q(\sqrt{-1}) \)
• Label: 2.0.4.1-22810.2-a
• Conductor: 22810.2
• Rank: \( 1 \)

Base field \(\Q(\sqrt{-1}) \)

Generator \(i\), with minimal polynomial \( x^{2} + 1 \); class number \(1\).

Elliptic curves in class 22810.2-a over \(\Q(\sqrt{-1}) \)

Isogeny class 22810.2-a contains 2 curves linked by isogenies of degree 3.

Curve label	Weierstrass Coefficients
22810.2-a1	\( \bigl[1\) , \( i - 1\) , \( 1\) , \( -91 i - 40\) , \( 384 i - 28\bigr] \)
22810.2-a2	\( \bigl[1\) , \( i - 1\) , \( 1\) , \( 4 i\) , \( 2 i - 2\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)

Isogeny graph